Mark the correct alternative in the following:

In the interval (1, 2), function f(x) = 2|x – 1|+3 |x – 2| is

Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly decreasing on (a, b) is that f’(x)<0 for all x(a,b)

Given:-

f(x)=2(x-1)+3(2-x)

f(x)=-x+4

f’(x)=-1

Therefore f’(x) <0

Hence decreasing function